变质量高阶非完整系统广义Mac-Millan方程的准坐标形式

兵工学报 ›› 1992, Vol. 13 ›› Issue (2): 86-91.

变质量高阶非完整系统广义Mac-Millan方程的准坐标形式

1:陈立群;2:王铁光

1:鞍山钢铁学院;2:东北工学院

收稿日期:1989-06-01 修回日期:1990-06-01 上线日期:2014-12-25
通讯作者: 陈立群

Generalized Mac-Millanˊs Equations in Terms of Quasi-Coordinates for Variable-Mass Systems with High-Order Non-Holonomic Constraints

Chen Liqun,Wang Tieguang

1:Anshaii Institute of Iron & Steel Technology;2:Northeast University of Technology

Received:1989-06-01 Revised:1990-06-01 Online:2014-12-25
Contact: Chen Liqun

摘要/Abstract

摘要： 本文建立了准坐标下的变质量高阶非完整系统广义Mac-Millan方程，给出了相应的Nielsen形式，并证明该方程与变质量高阶非完整系统广义Чаплыгин方程是等价的，最后讨论了两个特例。

关键词: Mac-Millan方程 , 高阶非线性非完整约束 , 变质量 , 准坐标

Abstract: In this paper，generalized Mac-Millan，s equations in terms of quasi-coordinates for variable-mass systems with high- order non- holonomic constraints are obtained. Corresponding Nielsen’s forms of the equations are given. The equivalence between the equations and generalized Chaplyginas equations for variable-mass systems with high-order non-holonomic constraints is demonstrated. Two special cases are discussed.

Key words: Mac- Millanˊs equations, high-order non- linear non- holonomic constraint, variable-mass, quasi-coordinate

1:陈立群;2:王铁光. 变质量高阶非完整系统广义Mac-Millan方程的准坐标形式[J]. 兵工学报, 1992, 13(2): 86-91.

Chen Liqun,Wang Tieguang. Generalized Mac-Millanˊs Equations in Terms of Quasi-Coordinates for Variable-Mass Systems with High-Order Non-Holonomic Constraints[J]. Acta Armamentarii, 1992, 13(2): 86-91.

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